Using 1 tablespoon of the butter, grease the inside of a 2-quart slow cooker.
Melt the remaining butter and pour it into the slow cooker.
In a large mixing bowl, beat the eggs with the flour, heavy cream, salt, and white pepper.
Stir in the shredded Swiss cheese.
Pour the egg mixture into the slow cooker and sprinkle with the grated Parmesan cheese.
Cover and cook on high for 2 to 2½ hours, stirring twice during the cooking time, until the eggs are creamy and have reached a temperature of 145°F.
Serve immediately.
Notes / Tips / Wine Advice:
Serving Tip:Serve with crispy bacon, toast, or fresh fruit for a full breakfast spread.Wine Advice:Pair with a light sparkling wine or a fresh orange juice mimosa for a perfect brunch pairing.